A SELF-CONSISTENT SINGLE-PARTICLE THEORY OF THE CYCLOTRON-RESONANCE MASER

We present a Hamiltonian treatment of gyrotrons and cyclotron auto-res onance masers for the cases of resonant particle evolution in a consta nt electromagnetic field and also for when the field evolves self-cons istently with a single resonant particle. The former case relates to h igh-Q cyclotron resonance maser (CRM) oscillators operating close to s aturation or to low-gain devices, whereas the latter describes the sel f-consistent CRM evolution both of the field and of electrons when the electron beam is perfectly pre-bunched. The particle phase spaces are described in detail for both cases.